What is the Greatest Common Factor of 96484 and 96488?

Greatest common factor (GCF) of 96484 and 96488 is 4.

GCF(96484,96488) = 4

We will now calculate the prime factors of 96484 and 96488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96484 and 96488.

How to find the GCF of 96484 and 96488?

We will first find the prime factorization of 96484 and 96488. After we will calculate the factors of 96484 and 96488 and find the biggest common factor number .

Step-1: Prime Factorization of 96484

Prime factors of 96484 are 2, 24121. Prime factorization of 96484 in exponential form is:

96484 = 2² × 24121¹

Step-2: Prime Factorization of 96488

Prime factors of 96488 are 2, 7, 1723. Prime factorization of 96488 in exponential form is:

96488 = 2³ × 7¹ × 1723¹

Step-3: Factors of 96484

List of positive integer factors of 96484 that divides 96484 without a remainder.

1, 2, 4, 24121, 48242

Step-4: Factors of 96488

List of positive integer factors of 96488 that divides 96484 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1723, 3446, 6892, 12061, 13784, 24122, 48244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96484 and 96488. The biggest common factor number is the GCF number.
So the greatest common factor 96484 and 96488 is 4.

Also check out the Least Common Multiple of 96484 and 96488